Asymptotic formulas for the coefficients of certain automorphic functions

DOI10.4064/aa169-1-4zbMath1370.11056OpenAlexW2245809415MaRDI QIDQ5252466

Karam Deo Shankhadhar, Jaban Meher

Publication date: 1 June 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa169-1-4

zbMATH Keywords

Jacobi-Eisenstein seriesasymptotic formulaFourier coefficientsweakly holomorphic modular formsweak Jacobi formsweakly holomorphic Jacobi forms

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Cites Work

• The theory of Jacobi forms
• Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
• On the Fourier coefficients of certain modular forms of positive dimension
• A derivation of the Hardy-Ramanujan formula from an arithmetic formula
• EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS
• AN ASYMPTOTIC FORMULA FOR THE COEFFICIENTS OF j(z)

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